**5. Conclusions**

The present analysis deals with the behavior of the swimming of the gyrotactic microorganisms in nanofluid propagating past a stretching permeable surface. The effects of porosity and magnetic field are also examined. The Successive Local Linearization Method is found very efficient in solving the nonlinear coupled equations. The SLLM is used across the shooting method, which utilizes the initial guesses for the missing slopes (a Newton-Raphson based iteration method for solving boundary value problem). To see the limitations and validations of this proposed computational methodology, the results are compared with previously published data and shooting method, and it is noticed that the obtained numerical results are in perfect accord with the other similar method. The significant findings of key parameters along with the performance of SLLM are:


**Author Contributions:** Conceptualization, H.H. Investigation, A.S. Methodology, M.M.B. Validation, L.Z. Writing-review & editing, R.E. All authors have read and agreed to the published version of the manuscript.

**Funding:** This research was funded by King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia (ORCP2500).

**Acknowledgments:** R. Ellahi gratefully thanks to King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia to honor him with the Chair Professor at KFUPM.

**Conflicts of Interest:** The authors declare no conflict of interest.
